LCM of 632, 455, 870, 771, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 632, 455, 870, 771, 810 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 632, 455, 870, 771, 810. So, keep reading to learn more.
Given numbers are 632,455,870,771,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 632,455,870,771,810 is 173597959080.
Find LCM of 632,455,870,771,810 with Prime Factorization
| 2 | 632, 455, 870, 771, 810 |
| 3 | 316, 455, 435, 771, 405 |
| 5 | 316, 455, 145, 257, 135 |
| 316, 91, 29, 257, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 316 x 91 x 29 x 257 x 27 = 173597959080
Therefore, the lowest common multiple of 632,455,870,771,810 is 173597959080.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
632 x 455 x 870 x 771 x 810 = 156238163172000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
632 : 1, 2, 4, 8, 79, 158, 316, 632
455 : 1, 5, 7, 13, 35, 65, 91, 455
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
771 : 1, 3, 257, 771
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,455,870,771,810, is 1.
Now, the common factors can be found like this.
632:2x 2x 2x 79
455:5x 7x 13
870:2x 3x 5x 29
771:3x 257
810:2x 3x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 5x 5 = 900
Therefore, the value for common factors is 900.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 156238163172000/(1x900)
LCM = 156238163172000/900
LCM = 173597959080
Thus, we can understand that the LCM of 632,455,870,771,810 is 173597959080.
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FAQs on LCM of 632, 455, 870, 771, 810
1. What is the LCM of 632, 455, 870, 771, 810?
Answer: LCM of 632, 455, 870, 771, 810 is 173597959080.
2. How to calculate the LCM of 632, 455, 870, 771, 810?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 632, 455, 870, 771, 810.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.